Questions

• Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

  圖中，$ABCD$ 為一圓。$AD$ 的延線與 $BC$ 的延線相交於點 $E$。已知 $BD=DE$、$\angle BAC=66^\circ$ 及 $\angle ABD=30^\circ$。求 $\angle CED$。

  

  2018

• Basic Properties of Circles Understand the properties of tangents to a circle and angles in the alternate segments Use the basic properties of circles to perform simple geometric proofs

  圖中，$TA$ 為圓 $ABCD$ 在點 $A$ 的切線。$CD$ 的延線與 $TA$ 的延線相交於點 $E$。已知 $AB=CD$、$\angle BAT=24^\circ$ 及 $\angle AED=72^\circ$。求 $\angle ABC$。

  

  2018

• Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

  圖中，$O$ 為半圓$ABCD$的圓心 - 若$AC=BD$及$\angle COD=48^{\circ}$，則$\angle ABD=$多少度？

  2019

• Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

  圖中，$TA$ 為圓 $ABCDE$ 在點 $A$ 的切線。若 $\angle BAD=64^\circ$、$\angle EAT=38^\circ$ 及 $\angle DCE=22^\circ$，則 $\angle ADB=$？

  2019

• Basic Properties of Circles Understand the properties of chords and arcs of a circle Use the basic properties of circles to perform simple geometric proofs

  某扇形的角度減少了60%，而它的半徑增加了k%。如果該扇形的弧長保持不變，求k的值。

  2020

• Basic Properties of Circles Understand the angle properties of a circle Use the basic properties of circles to perform simple geometric proofs

  圖中, $A B C D E$ 為一圓。若 $A B=10 \mathrm{~cm} 、 B C=5 \mathrm{~cm} 、 \angle A B C=90^{\circ}$ 及 $\angle C E D=40^{\circ}$,求 $C D$ 準確至最接近的 $\mathrm{cm}$ 。

  2020

• Basic Properties of Circles Understand the properties of tangents to a circle and angles in the alternate segments Use the basic properties of circles to perform simple geometric proofs

  圖中，$A B C$ 及 $C D E$ 均為圓使得 $A D C$ 為一直線。$P Q$ 為該兩圓在 $C$ 的公切線。$A B$ 為圓 $C D E$ 在 $E$ 的切線。若 $\angle A D E=100^{\circ}$ 及 $\angle B C Q=35^{\circ}$，則 $\angle A B C=$多少度？

  2020

• Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

  扇形$OAB$的面積為$\pi \mathrm{cm}^{2}$，其中$O$為扇形$OAB$的圓心。若$\angle AOB=90^{\circ}$，則下列何者正確？ I. 扇形$OAB$的半徑為$2 \mathrm{~cm}$。 II. 扇形$OAB$的周界為$\pi \mathrm{cm}$。 III. 通過$O、A$及$B$的圓的面積為$2 \pi \mathrm{cm}^{2}$。

  2021

• Basic Properties of Circles Understand the properties of tangents to a circle and angles in the alternate segments Use the basic properties of circles to perform simple geometric proofs

  在圖中，$AC$ 是圓 $ABCD$ 的直徑。$EF$ 是在點 $D$ 處的該圓的切線，使得 $AB$ 平行於 $EC$。如果 $\angle CDF=49^\circ$ 且 $\angle CED=31^\circ$，則 $\angle ACB=$ 多少度？

  2021

• Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

  某圓的直徑為 $10 \mathrm{~cm}$ 。一長度為 $8 \mathrm{~cm}$ 的弦把該圓分成一優弓形及一劣弓形。求該優弓形的面積準確至最接近的 $\mathrm{cm}^{2}$ 。

  2022